1INFO1010ScalesofMeasurement.pptx

INFO 1010

DATA MANAGEMENT AND ANALYSIS

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1

General Stat Concepts

Statistics

Descriptive Statistics

Statistical Inferences

Sample vs. Population

Problem:

Data Deluge

Data Quality

1st Step

Determine Scales of Measurement of Variables

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Scales Of Measurement

Scales determine the amount of information in the data

Nominal

Ordinal

Interval

Ratio

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Quantitative vs Categorical

Categorical: Labels or names used to identify an attribute of each element. Can be numeric or nonnumeric

Quantitative: Indicates how much or how many. Always numeric. Can be discrete or continuous.

The statistical analysis that is appropriate depends on whether the data for the variable are categorical or quantitative.

In general, there are more alternatives for statistical analysis when the data are quantitative.

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Scales of Measurement

Categorical

Quantitative

Numeric

Numeric

Non-numeric

Data

Nominal

Ordinal

Nominal

Ordinal

Interval

Ratio

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Statistical Inference

Population

Sample

Statistical inference

Census

Sample survey

- the set of all elements of interest in a

particular study

- a subset of the population

- the process of using data obtained

from a sample to make estimates

and test hypotheses about the

characteristics of a population

- collecting data for the entire population

- collecting data for a sample

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Process of Statistical Inference

1. Population

consists of all tune-

ups. Average cost of

parts is unknown.

2. A sample of 50

engine tune-ups

is examined.

The sample data

provide a sample

average parts cost

of $79 per tune-up.

4. The sample average

is used to estimate the

population average.

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Ethical Guidelines for Statistical Practice

In a statistical study, unethical behavior can take a

variety of forms including:

Improper sampling

Inappropriate analysis of the data

Development of misleading graphs

Use of inappropriate summary statistics

Biased interpretation of the statistical results

You should strive to be fair, thorough, objective, and

neutral as you collect, analyze, and present data.

As a consumer of statistics, you should also be aware

of the possibility of unethical behavior by others.

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Ethical Guidelines for Statistical Practice

The American Statistical Association developed the

report “Ethical Guidelines for Statistical Practice”.

Professionalism

Responsibilities to Funders, Clients, Employers

Responsibilities in Publications and Testimony

Responsibilities to Research Subjects

Responsibilities to Research Team Colleagues

The report contains 67 guidelines organized into

eight topic areas:

Responsibilities to Other Statisticians/Practitioners

Responsibilities Regarding Allegations of Misconduct

Responsibilities of Employers Including Organizations,

Individuals, Attorneys, or Other Clients

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